Let's simplify the expression:

\[
5\sqrt{2} + 1\sqrt{2} - 3\sqrt{2}
\]

1. Combine like terms (all terms have \(\sqrt{2}\)):

\[
(5 + 1 - 3)\sqrt{2} = 3\sqrt{2}
\]

So, the simplified expression is:

\[
3\sqrt{2}
\]

Would you like more details on how to combine like terms?

Here are 5 related questions you might find useful:
1. How do you add and subtract radical expressions?
2. What are the steps for simplifying expressions with square roots?
3. Can square roots with different radicands be combined?
4. How do you multiply square roots?
5. What is the process of rationalizing the denominator in square root expressions?

**Tip:** Always combine only like terms when dealing with radicals—those with the same radicand (number under the square root).

Learn how to simplify the radical expression 5√2 + 1√2 - 3√2 with a step-by-step solution. This problem covers combining like terms in radical expressions, essential for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation